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In this paper, we investigate the quasinormal modes of two covariant effective black holes characterized by the quantum parameter $\zeta$, charge $Q$, and cosmological constant $\Lambda$, under the scalar perturbation. By employing the…

General Relativity and Quantum Cosmology · Physics 2026-04-24 Zhongzhinan Dong , Jinsong Yang

We investigate the scalar, gravitational, and electromagnetic quasinormal mode spectra of Schwarzschild anti-de Sitter black holes using the numerical continued fraction method. The spectra have similar, almost linear structures. With a few…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Ramin G. Daghigh , Michael D. Green , Jodin C. Morey

We study the linear perturbations of a spherically symmetric black hole corrected by dimension-6 terms in the effective field theory (EFT) of gravity. The solution is asymptotically flat and characterized by two parameters -- a mass…

General Relativity and Quantum Cosmology · Physics 2025-12-08 Li-Ming Cao , Ming-Fei Ji , Liang-Bi Wu , Yu-Sen Zhou

In this paper, we investigate the quasinormal mode (QNM) spectra for scalar perturbation over a quantum-corrected black hole (BH). The fundamental modes of this quantum-corrected BH exhibit two key properties. Firstly, there is a…

General Relativity and Quantum Cosmology · Physics 2024-01-09 Huajie Gong , Shulan Li , Dan Zhang , Guoyang Fu , Jian-Pin Wu

Two quantum-corrected black hole models have recently been proposed within the Hamiltonian constraints approach to quantum gravity, maintaining general covariance \cite{Zhang:2024khj}. We have studied the quasinormal spectra of these black…

General Relativity and Quantum Cosmology · Physics 2025-05-28 R. A. Konoplya , O. S. Stashko

Linear perturbations of spherically symmetric spacetimes in general relativity are described by radial wave equations, with potentials that depend on the spin of the perturbing field. In previous work we studied the quasinormal mode…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Ryan McManus , Emanuele Berti , Caio F. B. Macedo , Masashi Kimura , Andrea Maselli , Vitor Cardoso

In this work, we explore the properties of the matrix method for black hole quasinormal modes on the nonuniform grid. In particular, the method is implemented to be adapted to the Chebyshev grid, aimed at effectively suppressing Runge's…

General Relativity and Quantum Cosmology · Physics 2022-11-15 Shui-Fa Shen , Wei-Liang Qian , Hong Guo , Shao-Jun Zhang , Jin Li

Recent non-modal analyses have uncovered spectral instabilities in the quasinormal-mode spectrum of black holes; a phenomenon that intriguingly extends to spherically-symmetric exotic compact objects. These results point to a sensitivity of…

General Relativity and Quantum Cosmology · Physics 2026-02-11 Kyriakos Destounis , Mateus Malato Corrêa , Caio F. B. Macedo , Rodrigo Panosso Macedo

It has been suggested that the spectrum of quasinormal modes of rotating black holes is unstable against additional potential terms in the perturbation equation, as the operator associated with the equation is non-self-adjoint. We point out…

General Relativity and Quantum Cosmology · Physics 2023-04-05 Huan Yang , Jun Zhang

Higher-degree polynomial interpolations carried out on uniformly distributed nodes are often plagued by {\it overfitting}, known as Runge's phenomenon. This work investigates Runge's phenomenon and its suppression in various versions of the…

General Relativity and Quantum Cosmology · Physics 2024-04-30 Shui-Fa Shen , Wei-Liang Qian , Jie Zhang , Yu Pan , Yu-Peng Yan , Cheng-Gang Shao

We reexamined the argument that the quasinormal modes could be a probe of the phase transition of a topological black hole to a hairy configuration by investigating general scalar perturbations. We found further evidence in the quasinormal…

High Energy Physics - Theory · Physics 2010-02-03 Jianyong Shen , Bin Wang , Chi-Yong Lin , Rong-Gen Cai , Ru-Keng Su

Black-hole perturbation theory is a useful tool to investigate issues in astrophysics, high-energy physics, and fundamental problems in gravity. It is often complementary to fully-fledged nonlinear evolutions and instrumental to interpret…

General Relativity and Quantum Cosmology · Physics 2013-09-10 Paolo Pani

The idea that quantum gravity effects might leak outside the horizon of a black hole has recently been intensively considered. In this study, we calculate the quasinormal modes as a function of the location and amplitude of a generic metric…

General Relativity and Quantum Cosmology · Physics 2022-08-16 Aurélien Barrau , Killian Martineau , Jeremy Martinon , Flora Moulin

The general parametrization of spherically symmetric and asymptotically flat black-hole spacetimes in arbitrary metric theories of gravity was suggested in [3]. The parametrization is based on the continued fraction expansion in terms of…

General Relativity and Quantum Cosmology · Physics 2022-05-18 R. A. Konoplya , A. Zhidenko

We investigate black hole solutions with time-dependent (scalar) hair in scalar-tensor theories. Known exact solutions exist for such theories at the background level, where the metric takes on a standard GR form (e.g. Schwarzschild-de…

General Relativity and Quantum Cosmology · Physics 2025-06-11 Sergi Sirera , Johannes Noller

It was pointed out that the black hole quasinormal modes resulting from a piecewise approximate potential are drastically distinct from those pertaining to the original black hole metric. In particular, instead of lining up parallel to the…

General Relativity and Quantum Cosmology · Physics 2024-02-09 Wei-Liang Qian , Kai Lin , Cai-Ying Shao , Bin Wang , Rui-Hong Yue

We obtain the quasi-normal mode frequencies of scalar perturbation on new type black holes in three dimensional new massive gravity. In some special cases, the exact quasi-normal mode frequencies are obtained by solving scalar field…

High Energy Physics - Theory · Physics 2011-06-24 Yongjoon Kwon , Soonkeon Nam , Jong-Dae Park , Sang-Heon Yi

In this paper, we undertake a comprehensive examination of quasinormal modes linked to Lee-Wick black holes, delving into scalar, electromagnetic, and gravitational perturbations using the spectral method. Such black holes can display a…

General Relativity and Quantum Cosmology · Physics 2024-10-18 Davide Batic , Denys Dutykh , Breno Loureiro Giacchini

Coherent quantum black holes are quantum geometries obtained by means of a mean-field-like approach to the gravitational interaction. This procedure attenuates the classical spacetime singularities of general relativity by replacing them…

General Relativity and Quantum Cosmology · Physics 2025-05-14 Tommaso Antonelli , Andrea Giusti , Roberto Casadio , Lavinia Heisenberg

This work discusses the Improved Matrix Method and Weighted Residual Method for studying the quasinormal modes (QNMs) of black holes. In the first method, by utilizing Jordan decomposition, the improved matrix method avoids the calculation…

General Relativity and Quantum Cosmology · Physics 2025-07-09 Kai Lin